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132104414331314 = 217233729339739251
BaseRepresentation
bin11110000010010111110100…
…101100001000000110110010
3122022202001120202211202010222
4132002113310230020012302
5114303344320032100224
61144543532524253042
736553141352322605
oct3602276454100662
9568661522752128
10132104414331314
1139102192a31607
12129968790a1182
135893515039149
142489c6007833c
1510415140cab5e
hex7825f4b081b2

132104414331314 has 128 divisors (see below), whose sum is σ = 226193849021952. Its totient is φ = 57512581632000.

The previous prime is 132104414331311. The next prime is 132104414331347. The reversal of 132104414331314 is 413133414401231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132104414331311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3365612189 + ... + 3365651439.

It is an arithmetic number, because the mean of its divisors is an integer number (1767139445484).

Almost surely, 2132104414331314 is an apocalyptic number.

132104414331314 is a deficient number, since it is larger than the sum of its proper divisors (94089434690638).

132104414331314 is a wasteful number, since it uses less digits than its factorization.

132104414331314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40020.

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 132104414331314 its reverse (413133414401231), we get a palindrome (545237828732545).

The spelling of 132104414331314 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred fourteen million, three hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 17 23 34 37 46 74 293 391 397 586 629 782 794 851 1258 1702 4981 6739 6749 9131 9962 10841 13478 13498 14467 14689 18262 21682 28934 29378 39251 78502 114563 116321 155227 184297 229126 232642 249343 249713 310454 337847 368594 498686 499426 667267 675694 902773 1334534 1452287 1805546 1977457 2675383 2904574 3954914 4238831 4303877 5350766 5743399 8477662 8607754 11486798 11500543 15347141 15582647 23001086 24688879 30694282 31165294 33402601 45481511 49377758 66805202 73165909 90963022 98989171 146331818 195509231 197978342 264512489 264904999 358400881 391018462 425520091 529024978 529809998 567844217 576557939 716801762 851040182 1135688434 1153115878 1682815907 3365631814 4496712313 4565715571 6092814977 7233841547 8993424626 9131431142 9786962093 9801484963 12185629954 13260832597 14467683094 19573924186 19602969926 26521665194 77617164707 105011458133 155234329414 166378355581 168931476127 210022916266 225434154149 332756711162 337862952254 450868308298 1785194788261 2871835094159 3570389576522 3885423950921 5743670188318 7770847901842 66052207165657 132104414331314